Question

Which graph represents the equation y = - 4/3x-2

Answer 1

Answer:

The answer is D

To find out the answer, first substitute 0 to x and find out the value of y. If the answer is same then it is correct. Do the same by converting 1 and 2 into x to find out the flow of line.

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Answer 2

Graphs are used to represent equations and functions

The graph that illustrates $\mathbf{y = -\frac 43x -2}$ is the first graph

The equation of the function is given as:

$\mathbf{y = -\frac 43x -2}$

A linear equation is represented as:

$\mathbf{y = mx +b}$

Where:

m represents slope

b represents the y-intercept (i.e. the value of y, when x = 0)

By comparison:

$\mathbf{m = -\frac 43}$

$\mathbf{b = -2}$

From the figure:

• The first graph has a negative slope
• And a y -intercept at -2 (because, the line passes through -2 when x = 0)

However,

• The second graph has a positive slope
• And a y -intercept at -2 (because, the line passes through -2 when x = 0)

Because the slope of the first graph is negative, then the first graph represents $\mathbf{y = -\frac 43x -2}$

Read more about graphs and slopes at:

https://brainly.com/question/17734932